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Features of differential-integral transforms of pulse signals

DOI 10.18127/j20700784–201807–03

Keywords:

V.V. Boronoev – Dr.Sc. (Eng.), Professor, Head of Laboratory, Institute of Physical Materials Science Siberian Branch of RAS (Ulan-Ude)
E-mail: vboronojev2001@mail.ru
B.Z. Garmaev – Ph.D. (Phys.-Math.), Research Scientist, Institute of Physical Materials Science Siberian Branch of RAS (Ulan-Ude)
E-mail: bair.garmaev@gmail.com
V.D. Ompokov – Research Scientist, Institute of Physical Materials Science Siberian Branch of RAS (Ulan-Ude)
E-mail: slvd@mail.ru


The paper gives analysis and evaluation of the diagnostic possibilities of the differential and integral transformations (DIT) of model signals and pulse signals of different people. These transformations amount to the ratio of the dispersions of the successively calculated divisible «integrals» and «differentials».
The article presents the algorithm of calculation of the DIT parameters of the pulse wave. Analysis of DIT parameters of pulse waves of a practically healthy person and a person with a pronounced arrhythmia showed that there is a direct dependence of the DIT parameters from the integration time (length of signal). The same result was shown by the study of DIT parameters on model signals of different shapes: sine waves with different periods and different direct lines.
It is shown that the absolute value of the DIT parameters does not depend on the amplitude of the model and pulse signals at equal lengths. It is shown that the DIT parameters depend on the length of signal (integration time) but not on the signal waveform.
In the article we research the possibility of detecting and separating signals according to the angle of the curves formed by the
parameters DIT. It is analyzed the parameters DIT for 5 model signals of different shapes: sine, triangle, square (square wave), and noise signals with uniform and normal distribution. It is shown that the angles of the curves formed by the parameters DIP of
periodic signals vary depending on the period of the signals and may coincide with the advance or the retard with the angles of the ran-dom signals.
It is shown that the DIT curves of noisy periodic signals are similar DIT curves of random signals (noises). That why, it is not possible to distinguish noisy signals with noises.
That is why the speculation of the diagnostic capability of the DIT parameters and possibility of the DIT parameters to detect and identify sine, modulated, noise signals is not substantiated.

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